How do you simplify the expression #(m + 6)^2#?

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Answer 1 · 2015-04-16T10:53:55

You can expand the expression #(m+6)^2# (although I am not sure this "simplifies" it.

#(m+6)^2 = m^2 +12m +36#

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#(m+6)^2#

#=(m+6)xx(m+6)#

#=mxx(m+6) + 6xx(m+6)#

#= (m^2 +6m) + (6m+36)#

#= m^2 + 12m +36#

In general
#(ax+b)^2 = (ax)^2 + 2abx + b^2#